{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "df6e70ba-c305-4d0f-bac6-8128e85c00f4",
   "metadata": {},
   "source": [
    "# Beta Regression\n",
    "\n",
    "This example has been contributed by Tyler James Burch ([\\@tjburch](https://github.com/tjburch) on GitHub)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "75349520-fa2a-4833-a263-6937313d0bc5",
   "metadata": {},
   "outputs": [],
   "source": [
    "import arviz as az\n",
    "import bambi as bmb\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "from scipy import stats\n",
    "from scipy.special import expit\n",
    "\n",
    "az.style.use(\"arviz-darkgrid\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5e621c66-18cb-4666-8007-21c107649eae",
   "metadata": {},
   "source": [
    "In this example, we'll look at using the **Beta distribution** for regression models. The Beta distribution is a probability distribution bounded on the interval [0, 1], which makes it well-suited to model probabilities or proportions. In fact, in much of the Bayesian literature, the Beta distribution is introduced as a prior distribution for the probability $p$ parameter of the Binomial distribution (in fact, it's the conjugate prior for the Binomial distribution)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5dd36522-d1fb-4ca3-9acd-751faee6db28",
   "metadata": {},
   "source": [
    "## Simulated Beta Distribution\n",
    "\n",
    "To start getting an intuitive sense of the Beta distribution, we'll model coin flipping probabilities. Say we grab all the coins out of our pocket, we might have some fresh from the mint, but we might also have some old ones. Due to the variation, some may be slightly biased toward heads or tails, and our goal is to model distribution of the probabilities of flipping heads for the coins in our pocket.\n",
    "\n",
    "Since we trust the mint, we'll say the $\\alpha$ and $\\beta$ are both large, we'll use 1,000 for each, which gives a distribution spanning from 0.45 to 0.55."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "25e2f943-6663-4ec1-9c47-b9f4d9fba071",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "alpha = 1_000\n",
    "beta = 1_000\n",
    "p = np.random.beta(alpha, beta, size=10_000)\n",
    "az.plot_kde(p)\n",
    "plt.xlabel(\"$p$\");"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "994f574f-2a16-4ec7-a38c-b1913b06f701",
   "metadata": {},
   "source": [
    "Next, we'll use Bambi to try to recover the parameters of the Beta distribution. Since we have no predictors, we can do a intercept-only model to try to recover them."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "00afdae9-701e-48f7-be94-207044a0b6b8",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (4 chains in 4 jobs)\n",
      "NUTS: [kappa, Intercept]\n",
      "/home/tomas/oss/bambinos/bambi/.pixi/envs/dev/lib/python3.13/site-packages/pymc/step_methods/hmc/quadpotential.py:316: RuntimeWarning: overflow encountered in dot\n",
      "  return 0.5 * np.dot(x, v_out)\n",
      "/home/tomas/oss/bambinos/bambi/.pixi/envs/dev/lib/python3.13/site-packages/pymc/step_methods/hmc/quadpotential.py:316: RuntimeWarning: overflow encountered in dot\n",
      "  return 0.5 * np.dot(x, v_out)\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "11812693f097436f91c232e91b5a14bf",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 2 seconds.\n"
     ]
    }
   ],
   "source": [
    "data = pd.DataFrame({\"probabilities\": p})\n",
    "model = bmb.Model(\"probabilities ~ 1\", data, family=\"beta\")\n",
    "fitted = model.fit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "195240cc-1e80-494c-bb5f-ba679e791393",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_trace(fitted);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "9f954d79-ce77-4b50-a317-3180b726d4a3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mean</th>\n",
       "      <th>sd</th>\n",
       "      <th>hdi_3%</th>\n",
       "      <th>hdi_97%</th>\n",
       "      <th>mcse_mean</th>\n",
       "      <th>mcse_sd</th>\n",
       "      <th>ess_bulk</th>\n",
       "      <th>ess_tail</th>\n",
       "      <th>r_hat</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>kappa</th>\n",
       "      <td>1976.797</td>\n",
       "      <td>27.418</td>\n",
       "      <td>1926.995</td>\n",
       "      <td>2028.092</td>\n",
       "      <td>0.437</td>\n",
       "      <td>0.448</td>\n",
       "      <td>3954.0</td>\n",
       "      <td>2675.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Intercept</th>\n",
       "      <td>-0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>-0.001</td>\n",
       "      <td>0.001</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>4345.0</td>\n",
       "      <td>3043.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               mean      sd    hdi_3%   hdi_97%  mcse_mean  mcse_sd  ess_bulk  \\\n",
       "kappa      1976.797  27.418  1926.995  2028.092      0.437    0.448    3954.0   \n",
       "Intercept    -0.000   0.000    -0.001     0.001      0.000    0.000    4345.0   \n",
       "\n",
       "           ess_tail  r_hat  \n",
       "kappa        2675.0    1.0  \n",
       "Intercept    3043.0    1.0  "
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "az.summary(fitted)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b024245c-affb-4f1f-a055-1cd104f2b900",
   "metadata": {},
   "source": [
    "The model fit, but clearly these parameters are not the ones that we used above. For Beta regression, we use a linear model for the mean, so we use the $\\mu$ and $\\sigma$ formulation. To link the two, we use\n",
    "\n",
    "$$\\alpha = \\mu \\kappa$$\n",
    "\n",
    "$$\\beta = (1-\\mu)\\kappa$$\n",
    "\n",
    "and $\\kappa$ is a function of the mean and variance,\n",
    "\n",
    "$$\\kappa = \\frac{\\mu(1-\\mu)}{\\sigma^2} - 1$$\n",
    "\n",
    "Rather than $\\sigma$, you'll note Bambi returns $\\kappa$. We'll define a function to retrieve our original parameters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "38cd51f1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Alpha - mean: 988.0, 95% HDI: 962.0 - 1015.0\n",
      "Beta - mean: 989.0, 95% HDI: 962.0 - 1014.0\n"
     ]
    }
   ],
   "source": [
    "def mukappa_to_alphabeta(mu, kappa):\n",
    "    # Calculate alpha and beta\n",
    "    alpha = mu * kappa\n",
    "    beta = (1 - mu) * kappa\n",
    "\n",
    "    # Get mean values and 95% HDIs\n",
    "    alpha_mean = alpha.mean((\"chain\", \"draw\")).item()\n",
    "    alpha_hdi = az.hdi(alpha, hdi_prob=.95)[\"x\"].values\n",
    "    beta_mean = beta.mean((\"chain\", \"draw\")).item()\n",
    "    beta_hdi = az.hdi(beta, hdi_prob=.95)[\"x\"].values\n",
    "\n",
    "    return alpha_mean, alpha_hdi, beta_mean, beta_hdi\n",
    "\n",
    "alpha, alpha_hdi, beta, beta_hdi = mukappa_to_alphabeta(\n",
    "    expit(fitted.posterior[\"Intercept\"]),\n",
    "    fitted.posterior[\"kappa\"]\n",
    ")\n",
    "\n",
    "print(f\"Alpha - mean: {np.round(alpha)}, 95% HDI: {np.round(alpha_hdi[0])} - {np.round(alpha_hdi[1])}\")\n",
    "print(f\"Beta - mean: {np.round(beta)}, 95% HDI: {np.round(beta_hdi[0])} - {np.round(beta_hdi[1])}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "93e8bde1-bf53-4f5b-823a-947fd4f6c74c",
   "metadata": {},
   "source": [
    "We've managed to recover our parameters with an intercept-only model."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3519d3df-7253-4f15-9bdc-67315885cb2c",
   "metadata": {},
   "source": [
    "## Beta Regression with Predictors"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "95ea4c4d-6ffa-4ff5-a501-125a2597027a",
   "metadata": {},
   "source": [
    "Perhaps we have a little more information on the coins in our pocket. We notice that the coins have accumulated dirt on either side, which would shift the probability of getting a tails or heads. In reality, we would not know how much the dirt affects the probability distribution, we would like to recover that parameter. We'll construct this toy example by saying that each micron of dirt shifts the $\\alpha$ parameter by 5.0. Further, the amount of dirt is distributed according to a Half Normal distribution with a standard deviation of 25 per side.\n",
    "\n",
    "We'll start by looking at the difference in probability for a coin with a lot of dirt on either side."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "a56770ab-9d47-4838-bd4b-61c5c730f255",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "effect_per_micron = 5.0\n",
    "\n",
    "# Clean Coin\n",
    "alpha = 1_000\n",
    "beta = 1_000\n",
    "p = np.random.beta(alpha, beta, size=10_000)\n",
    "\n",
    "# Add two std to tails side (heads more likely)\n",
    "p_heads = np.random.beta(alpha + 50 * effect_per_micron, beta, size=10_000)\n",
    "# Add two std to heads side (tails more likely)\n",
    "p_tails = np.random.beta(alpha - 50 * effect_per_micron, beta, size=10_000)\n",
    "\n",
    "az.plot_kde(p, label=\"Clean Coin\")\n",
    "az.plot_kde(p_heads, label=\"Biased toward heads\", plot_kwargs={\"color\":\"C1\"})\n",
    "az.plot_kde(p_tails, label=\"Biased toward tails\", plot_kwargs={\"color\":\"C2\"})\n",
    "plt.xlabel(\"$p$\")\n",
    "plt.ylim(top=plt.ylim()[1]*1.25);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "109a2af1-f3dd-415b-8908-a9b027526310",
   "metadata": {},
   "source": [
    "Next, we'll generate a toy dataset according to our specifications above. As an added foil, we will also assume that we're limited in our measuring equipment, that we can only measure correctly to the nearest integer micron."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "8a8e7e9d-093e-43a1-a5d6-9f01c45d8196",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>p</th>\n",
       "      <th>heads_bias_dirt</th>\n",
       "      <th>tails_bias_dirt</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.531709</td>\n",
       "      <td>31.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.506383</td>\n",
       "      <td>19.0</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.534763</td>\n",
       "      <td>28.0</td>\n",
       "      <td>10.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.518712</td>\n",
       "      <td>32.0</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.514520</td>\n",
       "      <td>22.0</td>\n",
       "      <td>22.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          p  heads_bias_dirt  tails_bias_dirt\n",
       "0  0.531709             31.0              1.0\n",
       "1  0.506383             19.0              4.0\n",
       "2  0.534763             28.0             10.0\n",
       "3  0.518712             32.0              7.0\n",
       "4  0.514520             22.0             22.0"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Create amount of dirt on top and bottom\n",
    "heads_bias_dirt = stats.halfnorm(loc=0, scale=25).rvs(size=1_000)\n",
    "tails_bias_dirt = stats.halfnorm(loc=0, scale=25).rvs(size=1_000)\n",
    "\n",
    "# Create the probability per coin\n",
    "alpha = np.repeat(1_000, 1_000)\n",
    "alpha = alpha + effect_per_micron * heads_bias_dirt - effect_per_micron * tails_bias_dirt\n",
    "beta = np.repeat(1_000, 1_000)\n",
    "\n",
    "p = np.random.beta(alpha, beta)\n",
    "\n",
    "df = pd.DataFrame({\n",
    "    \"p\" : p,\n",
    "    \"heads_bias_dirt\" : heads_bias_dirt.round(),\n",
    "    \"tails_bias_dirt\" : tails_bias_dirt.round()\n",
    "})\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9490bbea-7f82-40e9-bfce-338b65f8ba6f",
   "metadata": {},
   "source": [
    "Taking a look at our new dataset:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "d89891c3-7b62-489a-bde4-9cddf88bfae3",
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 1600x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax = plt.subplots(1,3, figsize=(16,5))\n",
    "\n",
    "df[\"p\"].plot.kde(ax=ax[0])\n",
    "ax[0].set_xlabel(\"$p$\")\n",
    "\n",
    "df[\"heads_bias_dirt\"].plot.hist(ax=ax[1], bins=np.arange(0,df[\"heads_bias_dirt\"].max()))\n",
    "ax[1].set_xlabel(\"Measured Dirt Biasing Toward Heads ($\\mu m$)\")\n",
    "df[\"tails_bias_dirt\"].plot.hist(ax=ax[2], bins=np.arange(0,df[\"tails_bias_dirt\"].max()))\n",
    "ax[2].set_xlabel(\"Measured Dirt Biasing Toward Tails ($\\mu m$)\");"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9a411fde-d028-44d3-8d6b-981a739614b0",
   "metadata": {},
   "source": [
    "Next we want to make a model to recover the effect per micron of dirt per side. So far, we've considered the biasing toward one side or another independently. A linear model might look something like this:\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "p &\\sim \\text{Beta}(\\mu, \\sigma) \\\\\n",
    "\\text{logit}(\\mu) &= \\text{ Normal}( \\alpha + \\beta_h d_h + \\beta_t d_t)\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "Where $d_h$ and $d_t$ are the measured dirt (in microns) biasing the probability toward heads and tails respectively, $\\beta_h$ and $\\beta_t$ are coefficients for how much a micron of dirt affects each independent side, and $\\alpha$ is the intercept. Also note the logit link function used here, since our outcome is on the scale of 0-1, it makes sense that the link must also put our mean on that scale. Logit is the default link function, however Bambi supports the identity, probit, and cloglog links as well. \n",
    "\n",
    "In this toy example, we've constructed it such that dirt should not affect one side differently from another, so we can wrap those into one coefficient: $\\beta = \\beta_h = -\\beta_t$. This makes the last line of the model:\n",
    "\n",
    "$$\n",
    "\\text{logit}(\\mu) = \\text{ Normal}( \\alpha + \\beta \\Delta d)\n",
    "$$\n",
    "\n",
    "where $\\Delta d = d_h - d_t$.\n",
    "\n",
    "Putting that into our dataset, then constructing this model in Bambi,"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "ee1573f9-5a62-45d7-9bb2-3328ad628e7c",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (4 chains in 4 jobs)\n",
      "NUTS: [kappa, Intercept, delta_d]\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f2eff174bc5448709c5104e38f341429",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 8 seconds.\n"
     ]
    }
   ],
   "source": [
    "df[\"delta_d\"] = df[\"heads_bias_dirt\"] - df[\"tails_bias_dirt\"]\n",
    "dirt_model = bmb.Model(\"p ~ delta_d\", df, family=\"beta\")\n",
    "dirt_fitted = dirt_model.fit()\n",
    "dirt_model.predict(dirt_fitted, kind=\"response\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "042df3cb-194f-4536-8eca-5532ecdaf72d",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mean</th>\n",
       "      <th>sd</th>\n",
       "      <th>hdi_3%</th>\n",
       "      <th>hdi_97%</th>\n",
       "      <th>mcse_mean</th>\n",
       "      <th>mcse_sd</th>\n",
       "      <th>ess_bulk</th>\n",
       "      <th>ess_tail</th>\n",
       "      <th>r_hat</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>kappa</th>\n",
       "      <td>1883.411</td>\n",
       "      <td>87.610</td>\n",
       "      <td>1721.713</td>\n",
       "      <td>2049.028</td>\n",
       "      <td>1.226</td>\n",
       "      <td>1.385</td>\n",
       "      <td>5317.0</td>\n",
       "      <td>3004.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Intercept</th>\n",
       "      <td>-0.004</td>\n",
       "      <td>0.001</td>\n",
       "      <td>-0.007</td>\n",
       "      <td>-0.002</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>5112.0</td>\n",
       "      <td>3124.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>delta_d</th>\n",
       "      <td>0.005</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.005</td>\n",
       "      <td>0.005</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>5864.0</td>\n",
       "      <td>2968.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mu[0]</th>\n",
       "      <td>0.536</td>\n",
       "      <td>0.001</td>\n",
       "      <td>0.535</td>\n",
       "      <td>0.537</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>5813.0</td>\n",
       "      <td>3222.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mu[1]</th>\n",
       "      <td>0.517</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.517</td>\n",
       "      <td>0.518</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>5504.0</td>\n",
       "      <td>3233.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mu[995]</th>\n",
       "      <td>0.494</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.493</td>\n",
       "      <td>0.495</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>5089.0</td>\n",
       "      <td>2869.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mu[996]</th>\n",
       "      <td>0.444</td>\n",
       "      <td>0.001</td>\n",
       "      <td>0.442</td>\n",
       "      <td>0.446</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>5543.0</td>\n",
       "      <td>3158.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mu[997]</th>\n",
       "      <td>0.468</td>\n",
       "      <td>0.001</td>\n",
       "      <td>0.467</td>\n",
       "      <td>0.469</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>5345.0</td>\n",
       "      <td>3322.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mu[998]</th>\n",
       "      <td>0.500</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.499</td>\n",
       "      <td>0.501</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>5129.0</td>\n",
       "      <td>3198.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mu[999]</th>\n",
       "      <td>0.508</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.507</td>\n",
       "      <td>0.508</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>5289.0</td>\n",
       "      <td>3272.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1003 rows × 9 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "               mean      sd    hdi_3%   hdi_97%  mcse_mean  mcse_sd  ess_bulk  \\\n",
       "kappa      1883.411  87.610  1721.713  2049.028      1.226    1.385    5317.0   \n",
       "Intercept    -0.004   0.001    -0.007    -0.002      0.000    0.000    5112.0   \n",
       "delta_d       0.005   0.000     0.005     0.005      0.000    0.000    5864.0   \n",
       "mu[0]         0.536   0.001     0.535     0.537      0.000    0.000    5813.0   \n",
       "mu[1]         0.517   0.000     0.517     0.518      0.000    0.000    5504.0   \n",
       "...             ...     ...       ...       ...        ...      ...       ...   \n",
       "mu[995]       0.494   0.000     0.493     0.495      0.000    0.000    5089.0   \n",
       "mu[996]       0.444   0.001     0.442     0.446      0.000    0.000    5543.0   \n",
       "mu[997]       0.468   0.001     0.467     0.469      0.000    0.000    5345.0   \n",
       "mu[998]       0.500   0.000     0.499     0.501      0.000    0.000    5129.0   \n",
       "mu[999]       0.508   0.000     0.507     0.508      0.000    0.000    5289.0   \n",
       "\n",
       "           ess_tail  r_hat  \n",
       "kappa        3004.0    1.0  \n",
       "Intercept    3124.0    1.0  \n",
       "delta_d      2968.0    1.0  \n",
       "mu[0]        3222.0    1.0  \n",
       "mu[1]        3233.0    1.0  \n",
       "...             ...    ...  \n",
       "mu[995]      2869.0    1.0  \n",
       "mu[996]      3158.0    1.0  \n",
       "mu[997]      3322.0    1.0  \n",
       "mu[998]      3198.0    1.0  \n",
       "mu[999]      3272.0    1.0  \n",
       "\n",
       "[1003 rows x 9 columns]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "az.summary(dirt_fitted)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "064e3784-d919-4f06-890a-2085ce162e49",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_ppc(dirt_fitted);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a137dd1e-5f07-42a2-96ce-edef9a037b2e",
   "metadata": {},
   "source": [
    "Next, we'll see if we can in fact recover the effect on $\\alpha$. Remember that in order to return to $\\alpha$, $\\beta$ space, the linear equation passes through an inverse logit transformation, so we must apply this to the coefficient on $\\Delta d$ to get the effect on $\\alpha$. The inverse logit is nicely defined in `scipy.special` as `expit`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "9b00dd63-bcd9-4c81-840f-0bc62e54acec",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean effect: 0.5012\n",
      "95% interval 0.5012 - 0.5013\n"
     ]
    }
   ],
   "source": [
    "mean_effect = expit(dirt_fitted.posterior.delta_d.mean())\n",
    "hdi = az.hdi(dirt_fitted.posterior.delta_d, hdi_prob=.95)\n",
    "lower = expit(hdi.delta_d[0])\n",
    "upper = expit(hdi.delta_d[1])\n",
    "print(f\"Mean effect: {mean_effect.item():.4f}\")\n",
    "print(f\"95% interval {lower.item():.4f} - {upper.item():.4f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "78fb931b-80fd-49e4-a96e-b70bb0c77024",
   "metadata": {},
   "source": [
    "The recovered effect is very close to the true effect of 0.5."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "021cb365-bf84-4137-a7ce-440644744e46",
   "metadata": {},
   "source": [
    "## Example - Revisiting Baseball Data"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "486440b2-a090-481f-a3e8-a59819369370",
   "metadata": {},
   "source": [
    "In the [Hierarchical Logistic regression with Binomial family](https://bambinos.github.io/bambi/notebooks/hierarchical_binomial_bambi.html) notebook, we modeled baseball batting averages (times a player reached first via a hit per times at bat) via a Hierarchical Logisitic regression model. If we're interested in league-wide effects, we could look at a Beta regression. We work off the assumption that the league-wide batting average follows a Beta distribution, and that individual player's batting averages are samples from that distribution.\n",
    "\n",
    "First, load the Batting dataset again, and re-calculate batting average as hits/at-bat. In order to make sure that we have a sufficient sample, we'll require at least 100 at-bats in order consider a batter. Last, we'll focus on 1990-2018."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "e7622666-ce67-46a5-9908-cecfce074da0",
   "metadata": {},
   "outputs": [],
   "source": [
    "batting = bmb.load_data(\"batting\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "2f3436f6-f9da-42ea-8da3-19aa3a9c6b40",
   "metadata": {},
   "outputs": [],
   "source": [
    "batting[\"batting_avg\"] = batting[\"H\"] / batting[\"AB\"]\n",
    "batting = batting[batting[\"AB\"] > 100]\n",
    "df = batting[ (batting[\"yearID\"] > 1990) & (batting[\"yearID\"] < 2018) ]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "184dba1c-4123-4e0f-9abb-4e0cd7870a56",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.batting_avg.hist(bins=30)\n",
    "plt.xlabel(\"Batting Average\")\n",
    "plt.ylabel(\"Count\");"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "77b3e820-eb01-4ba6-87ce-b8f888cc3e23",
   "metadata": {},
   "source": [
    "If we're interested in modeling the distribution of batting averages, we can start with an intercept-only model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "cab7fe70-6457-44cc-94b0-2f07b7f717b7",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (4 chains in 4 jobs)\n",
      "NUTS: [kappa, Intercept]\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "29681a203df047c3b30345240e84aaeb",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/tomas/oss/bambinos/bambi/.pixi/envs/dev/lib/python3.13/site-packages/pymc/step_methods/hmc/quadpotential.py:316: RuntimeWarning: overflow encountered in dot\n",
      "  return 0.5 * np.dot(x, v_out)\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 3 seconds.\n"
     ]
    }
   ],
   "source": [
    "model_avg = bmb.Model(\"batting_avg ~ 1\", df, family=\"beta\")\n",
    "avg_fitted = model_avg.fit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "a07cb36e-ffac-42b6-a8a8-3b6744ba1ee7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mean</th>\n",
       "      <th>sd</th>\n",
       "      <th>hdi_3%</th>\n",
       "      <th>hdi_97%</th>\n",
       "      <th>mcse_mean</th>\n",
       "      <th>mcse_sd</th>\n",
       "      <th>ess_bulk</th>\n",
       "      <th>ess_tail</th>\n",
       "      <th>r_hat</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>kappa</th>\n",
       "      <td>152.549</td>\n",
       "      <td>2.008</td>\n",
       "      <td>148.842</td>\n",
       "      <td>156.278</td>\n",
       "      <td>0.032</td>\n",
       "      <td>0.033</td>\n",
       "      <td>3829.0</td>\n",
       "      <td>2558.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Intercept</th>\n",
       "      <td>-1.038</td>\n",
       "      <td>0.002</td>\n",
       "      <td>-1.041</td>\n",
       "      <td>-1.035</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>4094.0</td>\n",
       "      <td>3088.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              mean     sd   hdi_3%  hdi_97%  mcse_mean  mcse_sd  ess_bulk  \\\n",
       "kappa      152.549  2.008  148.842  156.278      0.032    0.033    3829.0   \n",
       "Intercept   -1.038  0.002   -1.041   -1.035      0.000    0.000    4094.0   \n",
       "\n",
       "           ess_tail  r_hat  \n",
       "kappa        2558.0    1.0  \n",
       "Intercept    3088.0    1.0  "
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "az.summary(avg_fitted)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "216569a8-d3e4-40c6-8a44-507464e88087",
   "metadata": {},
   "source": [
    "Looking at the posterior predictive,"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "c5bdfdc9-4b16-4f05-92b8-8d17423d1fd5",
   "metadata": {},
   "outputs": [],
   "source": [
    "posterior_predictive = model_avg.predict(avg_fitted, kind=\"response\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "16ad18af-f367-425c-ab94-a1409e02e425",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_ppc(avg_fitted);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5117b124-4837-45e9-9433-ce03abe0a777",
   "metadata": {},
   "source": [
    "This appears to fit reasonably well. If, for example, we were interested in simulating players, we could sample from this distribution.\n",
    "\n",
    "However, we can take this further. Say we're interested in understanding how this distribution shifts if we know a player's batting average in a previous year. We can condition the model on a player's n-1 year, and use Beta regrssion to model that. Let's construct that variable, and for sake of ease, we will ignore players without previous seasons."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "a9c45b5f-2c6f-4bb4-8c06-e799b9955300",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>batting_avg_shift</th>\n",
       "      <th>batting_avg</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>batting_avg_shift</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.229774</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>batting_avg</th>\n",
       "      <td>0.229774</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                   batting_avg_shift  batting_avg\n",
       "batting_avg_shift           1.000000     0.229774\n",
       "batting_avg                 0.229774     1.000000"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Add the player's batting average in the n-1 year\n",
    "batting[\"batting_avg_shift\"] = np.where(\n",
    "    batting[\"playerID\"] == batting[\"playerID\"].shift(),\n",
    "    batting[\"batting_avg\"].shift(),\n",
    "    np.nan\n",
    ")\n",
    "df_shift = batting[ (batting[\"yearID\"] > 1990) & (batting[\"yearID\"] < 2018) ]\n",
    "df_shift = df_shift[~df_shift[\"batting_avg_shift\"].isna()]\n",
    "df_shift[[\"batting_avg_shift\",\"batting_avg\"]].corr()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "a40bd9e9-9a54-46a1-a319-956cfd20ea0a",
   "metadata": {},
   "source": [
    " There is a lot of variance in year-to-year batting averages, it's not known to be incredibly predictive, and we see that here. A correlation coefficient of 0.23 is only lightly predictive. However, we can still use it in our model to get a better understanding. We'll fit two models. First, we'll refit the previous, intercept-only, model using this updated dataset so we have an apples-to-apples comparison. Then, we'll fit a model using the previous year's batting average as a predictor.\n",
    "\n",
    " Notice we need to explicitly ask for the inclusion of the log-likelihood values into the inference data object."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "f01d6907-887e-497a-a338-b45253ce3b38",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (4 chains in 4 jobs)\n",
      "NUTS: [kappa, Intercept]\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "ccecac27295c49f28f7fc0740fff7ad3",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 2 seconds.\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (4 chains in 4 jobs)\n",
      "NUTS: [kappa, Intercept, batting_avg_shift]\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "dd8bccfaf82248baad30a6ffa0101f0f",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took -0 seconds.\n"
     ]
    }
   ],
   "source": [
    "model_avg = bmb.Model(\"batting_avg ~ 1\", df_shift, family=\"beta\")\n",
    "avg_fitted = model_avg.fit(idata_kwargs={\"log_likelihood\": True})\n",
    "\n",
    "model_lag = bmb.Model(\"batting_avg ~ batting_avg_shift\", df_shift, family=\"beta\")\n",
    "lag_fitted = model_lag.fit(idata_kwargs={\"log_likelihood\": True})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "9eac3d6d-4140-4378-963d-e341bc0512c6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mean</th>\n",
       "      <th>sd</th>\n",
       "      <th>hdi_3%</th>\n",
       "      <th>hdi_97%</th>\n",
       "      <th>mcse_mean</th>\n",
       "      <th>mcse_sd</th>\n",
       "      <th>ess_bulk</th>\n",
       "      <th>ess_tail</th>\n",
       "      <th>r_hat</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>kappa</th>\n",
       "      <td>135.929</td>\n",
       "      <td>9.136</td>\n",
       "      <td>119.172</td>\n",
       "      <td>153.969</td>\n",
       "      <td>0.118</td>\n",
       "      <td>0.147</td>\n",
       "      <td>5942.0</td>\n",
       "      <td>3036.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Intercept</th>\n",
       "      <td>-1.377</td>\n",
       "      <td>0.071</td>\n",
       "      <td>-1.506</td>\n",
       "      <td>-1.245</td>\n",
       "      <td>0.001</td>\n",
       "      <td>0.001</td>\n",
       "      <td>5823.0</td>\n",
       "      <td>3111.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>batting_avg_shift</th>\n",
       "      <td>1.356</td>\n",
       "      <td>0.272</td>\n",
       "      <td>0.867</td>\n",
       "      <td>1.858</td>\n",
       "      <td>0.004</td>\n",
       "      <td>0.004</td>\n",
       "      <td>5800.0</td>\n",
       "      <td>3105.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                      mean     sd   hdi_3%  hdi_97%  mcse_mean  mcse_sd  \\\n",
       "kappa              135.929  9.136  119.172  153.969      0.118    0.147   \n",
       "Intercept           -1.377  0.071   -1.506   -1.245      0.001    0.001   \n",
       "batting_avg_shift    1.356  0.272    0.867    1.858      0.004    0.004   \n",
       "\n",
       "                   ess_bulk  ess_tail  r_hat  \n",
       "kappa                5942.0    3036.0    1.0  \n",
       "Intercept            5823.0    3111.0    1.0  \n",
       "batting_avg_shift    5800.0    3105.0    1.0  "
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "az.summary(lag_fitted)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "6c076cb0-a8bc-4ccf-9142-713d28541dd0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>rank</th>\n",
       "      <th>elpd_loo</th>\n",
       "      <th>p_loo</th>\n",
       "      <th>elpd_diff</th>\n",
       "      <th>weight</th>\n",
       "      <th>se</th>\n",
       "      <th>dse</th>\n",
       "      <th>warning</th>\n",
       "      <th>scale</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>lag-model</th>\n",
       "      <td>0</td>\n",
       "      <td>785.079800</td>\n",
       "      <td>2.948934</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.99884</td>\n",
       "      <td>14.543180</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>False</td>\n",
       "      <td>log</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>intercept-only</th>\n",
       "      <td>1</td>\n",
       "      <td>774.133237</td>\n",
       "      <td>2.098372</td>\n",
       "      <td>10.946563</td>\n",
       "      <td>0.00116</td>\n",
       "      <td>15.329343</td>\n",
       "      <td>4.648853</td>\n",
       "      <td>False</td>\n",
       "      <td>log</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                rank    elpd_loo     p_loo  elpd_diff   weight         se  \\\n",
       "lag-model          0  785.079800  2.948934   0.000000  0.99884  14.543180   \n",
       "intercept-only     1  774.133237  2.098372  10.946563  0.00116  15.329343   \n",
       "\n",
       "                     dse  warning scale  \n",
       "lag-model       0.000000    False   log  \n",
       "intercept-only  4.648853    False   log  "
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "az.compare({\n",
    "    \"intercept-only\" : avg_fitted,\n",
    "    \"lag-model\": lag_fitted\n",
    "})"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3365e674-e5ae-447c-a41a-9785880c4778",
   "metadata": {},
   "source": [
    "Adding the predictor results in a higher loo than the intercept-only model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "4d964080-946e-40d9-95d4-dcb4a7b45d71",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ppc= model_lag.predict(lag_fitted, kind=\"response\")\n",
    "az.plot_ppc(lag_fitted);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "335109a6-1bb7-404e-b968-adc1aa7b1c96",
   "metadata": {},
   "source": [
    "The biggest question this helps us understand is, for each point of batting average in the previous year, how much better do we expect a player to be in the current year?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "d83029c9-fc75-45f8-a0c1-5dcb95c8e976",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean effect: 0.7950\n",
      "95% interval 0.6950 - 0.8651\n"
     ]
    }
   ],
   "source": [
    "mean_effect = lag_fitted.posterior.batting_avg_shift.mean().item()\n",
    "hdi = az.hdi(lag_fitted.posterior.batting_avg_shift, hdi_prob=.95)\n",
    "\n",
    "lower = expit(hdi.batting_avg_shift[0]).item()\n",
    "upper = expit(hdi.batting_avg_shift[1]).item()\n",
    "print(f\"Mean effect: {expit(mean_effect):.4f}\")\n",
    "print(f\"95% interval {lower:.4f} - {upper:.4f}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "870c807a-063e-4bbd-b5cf-ba1594fc1076",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_hdi(df_shift.batting_avg_shift, lag_fitted.posterior_predictive.batting_avg, hdi_prob=0.95, color=\"goldenrod\", fill_kwargs={\"alpha\":0.8})\n",
    "az.plot_hdi(df_shift.batting_avg_shift, lag_fitted.posterior_predictive.batting_avg, hdi_prob=.68, color=\"forestgreen\", fill_kwargs={\"alpha\":0.8})\n",
    "\n",
    "intercept = lag_fitted.posterior.Intercept.values.mean()\n",
    "x = np.linspace(df_shift.batting_avg_shift.min(), df_shift.batting_avg_shift.max(),100)\n",
    "linear = mean_effect * x + intercept\n",
    "plt.plot(x, expit(linear), c=\"black\")\n",
    "plt.xlabel(\"Previous Year's Batting Average\")\n",
    "plt.ylabel(\"Batting Average\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "f867b91d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Last updated: Sun Sep 28 2025\n",
      "\n",
      "Python implementation: CPython\n",
      "Python version       : 3.13.7\n",
      "IPython version      : 9.4.0\n",
      "\n",
      "arviz     : 0.22.0\n",
      "scipy     : 1.16.2\n",
      "numpy     : 2.3.3\n",
      "pandas    : 2.3.2\n",
      "bambi     : 0.14.1.dev56+gd93591cd2.d20250927\n",
      "matplotlib: 3.10.6\n",
      "\n",
      "Watermark: 2.5.0\n",
      "\n"
     ]
    }
   ],
   "source": [
    "%load_ext watermark\n",
    "%watermark -n -u -v -iv -w"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:base] *",
   "language": "python",
   "name": "conda-base-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
